Mean-field theory for global binding systematics

Mean-field theory for C70.

Orientational ordering transitions in C70 are studied by constructing a Landau free energy in terms of order parameters describing long-range orientational order. This theory predicts that the transition from the orientationally disordered state into a partially ordered state, where the long axes of the molecules are parallel to one another, is discontinuous with an elastic distortion. Order pa...

Mean Field Theory for Sigmoid Belief Networks Mean Field Theory for Sigmoid Belief Networks

We develop a mean eld theory for sigmoid belief networks based on ideas from statistical mechanics. Our mean eld theory provides a tractable approximation to the true probability distribution in these networks; it also yields a lower bound on the likelihood of evidence. We demonstrate the utility of this framework on a benchmark problem in statistical pattern recognition|the classiication of ha...

Embedded mean-field theory.

We introduce embedded mean-field theory (EMFT), an approach that flexibly allows for the embedding of one mean-field theory in another without the need to specify or fix the number of particles in each subsystem. EMFT is simple, is well-defined without recourse to parameters, and inherits the simple gradient theory of the parent mean-field theories. In this paper, we report extensive benchmarki...

Dynamical mean-field theory

Mean field theory for Heisenberg spin glasses

2014 The infinite-ranged spin glass model is studied in the general case of m-component spins. Results for the magnetization laws, the shape of the phase diagram, the nature of the transitions are presented. J. Physique LETTRES 42 (1981) L-103 L-106 1 PI MARS 1981, Classification Physics Abstracts 05.50 75.50K The infinite-ranged model [1], introduced by D. Sherrington and S. Kirkpatrick (SK), ...